Students' Critical Thinking Profile in Solving Problems Proving Trigonometric Identities in View of Gender Differences

Eliyana Eliyana; Gandung Sugita; Anggraini Anggraini; I Nyoman Murdiana

doi:10.25217/numerical.v8i1.4468

Authors

Eliyana Eliyana Program Studi Pendidikan Matematika, Universitas Tadulako
Gandung Sugita Universitas Tadulako, Indonesia
Anggraini Anggraini Universitas Tadulako, Indonesia
I Nyoman Murdiana Universitas Tadulako, Indonesia

DOI:

https://doi.org/10.25217/numerical.v8i1.4468

Keywords:

Critical Thinking, Proof of Trigonometric Identity, Gender Differences

Abstract

This study aims to describe the critical thinking profile of SMAN 5 Model Palu grade XI students in solving trigonometric identity proof problems regarding gender differences. The subjects in this study were male students or S1 and female students or S2 of grade XI Mipa 4 SMAN 5 Model Palu who have high mathematical abilities. Data were collected through tests and interviews. The results of this study indicate that S1 and S2 in solving trigonometric identity proofs have the correct answers and are accompanied by supporting reasons. However, there are some differences in thinking activities between the two, namely S1 who is a male student with high ability has a shorter answer than the solution of S2 who is a female student with high ability, S1 uses a logical way of thinking compared to S2 who tends to be proficient with his verbal abilities. This shows that S1 and S2 even though they have equal mathematical abilities, there are some differences between the two in solving trigonometric identity proofs whose data are obtained from written assignment answers and interview results.

References

Azizzah, H., Arafa, M., Prima, NL, Alifah, N., & Sugiharto, B. (2021). Critical Thinking Skills Of Male And Female Students Senior High School In Science Program. Phenomeon Journal, Vol. 11.

Darmadi, D. (2015). Visual Thinking Profile of Male Students as Prospective Mathematics Teachers in Understanding the Formal Definition of Convergent Sequences. Jurnal Math Educator Nusantara, Vol. 1.

Dewi, DP, Mediyani, D., Hidayat, W., Rohaeti, EE, & Wijaya, TT (2019). Analysis of Critical Thinking Ability of Junior High School Students in Mathematical Circle and Side Space Material. Journal of Innovative Mathematics Learning, Vol. 2.

Ennis, R.H. (2011). The Nature Of Critical Thinking: An Outline Of Critical Thinking Disposition And Abilities. Article: University Of Illinois.

Facione, P. (2015). Critical Thinking: What It Is And Why It Counts. Insight Assessment Journal.

Fauziah, N., Roza, Y., & Maimunah. (2022). Students' Mathematical Problem-Solving Ability in Solving. Cendekia Journal: Journal of Mathematics Education, Volume. 6.

Hariananda, DA, Zainuddin, & S, NA (2022). Analysis of Students' Mathematical Critical Thinking Ability Reviewed from Gender Differences. Scientific Mathematics Journal, Vol. 8.

Herizal, H. (2020). Factors Affecting Students' Mathematical Proof Ability. Journal of Mathematics and Mathematics Education, Vol. 2.

Kaliky, S., & Juhaevah, F. (2018). Analysis of Critical Thinking Ability of Grade X High School Students in Solving Trigonometric Identity Problems Reviewed from Gender. Journal of Mathematics and Learning, Volume. 6.

Krisagotama, F., Susanto, & Kurniati, D. (2015). Critical Thinking Profile of Grade VII Students of MTs NEGERI JEMBER 1. Kadikma Article, Vol. 6.

Kristanto, HY (2019). Profile of High School Students' Three-Variable Linear Equation System Solvers Reviewed from Gender Differences. Journal of Mathematics Education Study Program, Volume. 5.

Laja, YP (2022). Analysis of Mathematics Education Students' Difficulties in Solving Trigonometric Limit Problems. Journal of Mathematics Education, Vol. 11.

Lestari, KE (2015). Analysis of Students' Mathematical Proof Ability Using the Inductive-Deductive Approach in Real Analysis Course. Articles, Vol. 1.

Lestari, TP, & Wijayanti, P. (2020). Profile of Students' Critical Thinking Skills in Solving Higher Order Thinking Skills (HOTS) Problems Reviewed from Gender. Scientific Journal of Mathematics Education, Volume. 9.

Machmud, T. (2009). Evidence and Proof in Mathematics Teaching in Secondary Schools. Innovation Journal, Volume 6.

Mahardhikawati, E., Mardiyana, M., & Setiawan, R. (2017). Analysis of Problem Solving Ability Based on Polya's Steps on Function Derivative Material Reviewed from Logical-Mathematical Intelligence of Grade XI IPA Students of SMA Negeri 7n Surakarta in the 2013/2014 Academic Year. Journal of Mathematics Education and Mathematics Solutions, Vol. 1.

Milles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative Data Analysis: A Methods Sourcebook. Los Angeles, London, New Delhi, Singapore, Washington: SAGE.

Muryati, Rahaju, B., & Endah. (2017). High School Students' Thinking Process in Solving Proof Problems Reviewed from the Keirsey Sorter (KTS) Personality Type. Article Indonesia One Search.

Nur, AS, & Palobo, M. (2018). Profile of Students' Mathematical Problem Solving Ability Reviewed from Differences in Cognitive Style and Gender. Creative-Innovative Mathematics Journal.

Prastyo, H. (2020). Indonesian Students' Mathematical Ability Based on TIMSS. Padegogik Journal, Volume 3.

Puspita, DM, & Rahaju, EB (2021). Critical Thinking Process of High School Students in Solving Trigonometry Problems Reviewed from Gender Differences. Journal of Mathematics and Science Education Research, Vol.5.

Puspita, SW, Pramesti, G., & Pambudi, D. (2019). Analysis of Critical Thinking Ability of Class VIII A Students of SMP Negeri 8 Surakarta in Solving Circle Problems Reviewed from Gender and Initial Ability. Journal of Mathematics Education and Mathematics Solutions.

Sari, N., Destiniar, & Octaria, D. (2022). Critical Thinking Skills of High School Students Reviewed from Gender in Trigonometry Material. Journal Of Mathematics Education, Vol.8.

Savitri, DA, & Yuliani, A. (2020). Analysis of Students' Errors in Solving Trigonometry Problems Reviewed from Gender Based on Newman. Journal of Innovative Mathematics Learning, Vol. 3.

Shanti, WN, Sholihah, DA, & Abdullah, AA (2018). Improving Critical Thinking Skills Through CTL. Electronic Journal of Mathematics Learning, vol. 5.

Siregar, & Yolanda, M. (2021). Development of Learning Videos with an Open Ended Approach to Improve Mathematical Reasoning and Critical Thinking Skills of Junior High School Students of Ikhwanul Muslimin Medan. Article Digital Repository Universitas Negeri Medan.

Siswono, TY (2008). Mathematics Learning Model Based on Submission and Problem Solving to Improve Creative Thinking Skills. Article Indonesia One Search.

Sugiyono. (2014). Quantitative, Qualitative and R & D Research Methods. Bandung: Alfabeta.

Susilowati, JP (2016). Thinking Profile of Junior High School Students in Solving Mathematical Problems Reviewed from Gender Differences. Journal of Mathematics Learning Review.

Sutarji. (2020). Analysis of Critical Thinking Skills of Class VIII Students of MTs Al-Washliyah Kolam in Solving Mathematical Problems Reviewed Based on Gender Differences. Thesis.